The number 38428
38428 is a composite number with 12 divisors. Its prime factorisation is × 13 × 739. Divisors (12): 1, 2, 4, 13, 26, 52, 739, 1478, 2956, 9607, 19214, 38428.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
38428 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
38428 is composite. Its prime factorisation is
- 3
The divisors add up to 72520; without 38428 itself that is 34092, so 38428 is deficient (34092 is less than 38428). Euler's totient φ(38428) = 17712 numbers up to 38428 share no factor with it.
- 4
The digits of 38428 add up to 25, and repeating that until one digit is left gives the digital root 7. The Collatz sequence (halve if even, else 3n+1) takes 124 steps to reach 1.
LaTeX source of the formulas on this page
\[ 38428 = 2^{2} \times 13 \times 739 \]38428 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 12 |
| Sum of divisors | 72520 |
| Euler totient φ(n) | 17712 |
| Square | 1476711184 |
| Cube | 56747057378752 |
| Square root | 196.030610 (= 2√9607) |
| Digit sum / digital root | 25 / 7 |
| Collatz steps to 1 | 124 |
| Scientific notation | 3.8428 × |
38428 in other forms
| Form | Value |
|---|---|
| In words | thirty-eight thousand four hundred and twenty-eight |
| Binary (base 2) | 1001011000011100 |
| Octal (base 8) | 113034 |
| Hexadecimal (base 16) | 961C |
| Base 3 | 1221201021 |
| As time | 38428 seconds = 10 h 40 min 28 s |
Is 38428 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (38428 ÷ 2 = 19214) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | No (remainder 1) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | Yes (38428 ÷ 4 = 9607) | A number is divisible by 4 if the last two digits make a multiple of 4. |
| 5 | No (remainder 3) | A number is divisible by 5 if the last digit is 0 or 5. |
| 6 | No (remainder 4) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | No (remainder 5) | A number is divisible by 7 if double the last digit and subtract it from the rest: the result is a multiple of 7. |
| 8 | No (remainder 4) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 7) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | No (remainder 8) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 5) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 4) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 38428 a prime number?
No. 38428 = × 13 × 739, so it is divisible by 2.
What are the factors of 38428?
1, 2, 4, 13, 26, 52, 739, 1478, 2956, 9607, 19214, 38428.
What is 38428 in binary?
1001011000011100 (hexadecimal 961C, octal 113034).
What is the square root of 38428?
About 196.0306, exactly 2√9607.
Is 38428 divisible by 3?
No. Its digits add up to 25, which is not a multiple of 3.
What is special about the number 38428?
It is a composite number with 12 divisors.